Demographics (Attention Check)
0
(N=52)
0.25
(N=72)
0.5
(N=60)
0.75
(N=49)
1
(N=51)
Overall
(N=284)
age
Mean (SD) 35.4 (13.7) 36.1 (12.7) 33.9 (12.2) 37.7 (13.7) 36.9 (10.7) 35.9 (12.6)
Median [Min, Max] 32.0 [18.0, 72.0] 34.0 [18.0, 75.0] 33.0 [18.0, 71.0] 36.0 [20.0, 71.0] 35.0 [20.0, 62.0] 34.0 [18.0, 75.0]
race
American Indian or Alaska Native 1 (1.9%) 1 (1.4%) 2 (3.3%) 1 (2.0%) 0 (0%) 5 (1.8%)
Asian 6 (11.5%) 6 (8.3%) 8 (13.3%) 3 (6.1%) 6 (11.8%) 29 (10.2%)
Black or African-American 5 (9.6%) 5 (6.9%) 4 (6.7%) 6 (12.2%) 1 (2.0%) 21 (7.4%)
Hispanic/Latinx 3 (5.8%) 5 (6.9%) 5 (8.3%) 2 (4.1%) 1 (2.0%) 16 (5.6%)
White 37 (71.2%) 53 (73.6%) 41 (68.3%) 37 (75.5%) 41 (80.4%) 209 (73.6%)
Native Hawaiian or Other Pacific Islander 0 (0%) 1 (1.4%) 0 (0%) 0 (0%) 0 (0%) 1 (0.4%)
Other 0 (0%) 1 (1.4%) 0 (0%) 0 (0%) 2 (3.9%) 3 (1.1%)
gender
Man 20 (38.5%) 23 (31.9%) 19 (31.7%) 18 (36.7%) 24 (47.1%) 104 (36.6%)
Woman 32 (61.5%) 46 (63.9%) 40 (66.7%) 29 (59.2%) 23 (45.1%) 170 (59.9%)
Non-binary 0 (0%) 2 (2.8%) 1 (1.7%) 1 (2.0%) 2 (3.9%) 6 (2.1%)
Prefer not to answer 0 (0%) 1 (1.4%) 0 (0%) 1 (2.0%) 2 (3.9%) 4 (1.4%)
0
(N=4)
0.25
(N=6)
0.5
(N=2)
0.75
(N=2)
1
(N=3)
Overall
(N=17)
age
Mean (SD) 35.3 (9.46) 39.0 (21.8) 35.5 (4.95) 51.5 (21.9) 44.7 (26.3) 40.2 (17.7)
Median [Min, Max] 31.5 [29.0, 49.0] 29.5 [24.0, 82.0] 35.5 [32.0, 39.0] 51.5 [36.0, 67.0] 40.0 [21.0, 73.0] 34.0 [21.0, 82.0]
race
White 4 (100%) 5 (83.3%) 1 (50.0%) 2 (100%) 2 (66.7%) 14 (82.4%)
Asian 0 (0%) 1 (16.7%) 0 (0%) 0 (0%) 0 (0%) 1 (5.9%)
Black or African-American 0 (0%) 0 (0%) 1 (50.0%) 0 (0%) 1 (33.3%) 2 (11.8%)
gender
Man 1 (25.0%) 1 (16.7%) 1 (50.0%) 1 (50.0%) 1 (33.3%) 5 (29.4%)
Woman 3 (75.0%) 4 (66.7%) 1 (50.0%) 1 (50.0%) 2 (66.7%) 11 (64.7%)
Another gender not listed here 0 (0%) 1 (16.7%) 0 (0%) 0 (0%) 0 (0%) 1 (5.9%)
Agent Learning Plots
NonDeviant Analysis
Analysis of Deviance Table (Type II Wald chisquare tests)

Response: corrresp
                                   Chisq Df Pr(>Chisq)    
opinion_round                   155.5722  1  < 2.2e-16 ***
Deviant_threshold                29.9063  4  5.114e-06 ***
opinion_round:Deviant_threshold   1.8352  4      0.766    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
 1       opinion_round.trend     SE  df asymp.LCL asymp.UCL z.ratio p.value
 overall               0.186 0.0152 Inf     0.157     0.216  12.282  <.0001

Results are averaged over the levels of: Deviant_threshold 
Confidence level used: 0.95 
$emmeans
 Deviant_threshold emmean     SE  df asymp.LCL asymp.UCL z.ratio p.value
 0                   1.59 0.1099 Inf     1.374      1.80  14.461  <.0001
 0.25                1.04 0.0906 Inf     0.864      1.22  11.494  <.0001
 0.5                 1.01 0.0993 Inf     0.813      1.20  10.147  <.0001
 0.75                1.02 0.1099 Inf     0.807      1.24   9.303  <.0001
 1                   1.15 0.1080 Inf     0.943      1.37  10.692  <.0001

Results are given on the logit (not the response) scale. 
Confidence level used: 0.95 

$contrasts
 contrast                                      estimate    SE  df asymp.LCL
 Deviant_threshold0 - Deviant_threshold0.25      0.5479 0.142 Inf    0.1611
 Deviant_threshold0 - Deviant_threshold0.5       0.5816 0.147 Inf    0.1795
 Deviant_threshold0 - Deviant_threshold0.75      0.5663 0.155 Inf    0.1440
 Deviant_threshold0 - Deviant_threshold1         0.4345 0.153 Inf    0.0161
 Deviant_threshold0.25 - Deviant_threshold0.5    0.0337 0.134 Inf   -0.3314
 Deviant_threshold0.25 - Deviant_threshold0.75   0.0185 0.142 Inf   -0.3688
 Deviant_threshold0.25 - Deviant_threshold1     -0.1134 0.140 Inf   -0.4964
 Deviant_threshold0.5 - Deviant_threshold0.75   -0.0153 0.148 Inf   -0.4180
 Deviant_threshold0.5 - Deviant_threshold1      -0.1471 0.146 Inf   -0.5457
 Deviant_threshold0.75 - Deviant_threshold1     -0.1318 0.154 Inf   -0.5508
 asymp.UCL z.ratio p.value
     0.935   3.864  0.0011
     0.984   3.945  0.0008
     0.989   3.658  0.0024
     0.853   2.832  0.0373
     0.399   0.252  0.9991
     0.406   0.130  0.9999
     0.270  -0.807  0.9284
     0.387  -0.103  1.0000
     0.252  -1.007  0.8525
     0.287  -0.858  0.9120

Results are given on the log odds ratio (not the response) scale. 
Confidence level used: 0.95 
Conf-level adjustment: tukey method for comparing a family of 5 estimates 
P value adjustment: tukey method for comparing a family of 5 estimates 
Similarity Plot
Similarity Analysis
Type III Analysis of Variance Table with Satterthwaite's method
                             Sum Sq Mean Sq NumDF DenDF  F value Pr(>F)    
targetpair                      334     334     1   284   1.6629 0.1983    
Deviant_threshold             33776   33776     1   284 168.2303 <2e-16 ***
targetpair:Deviant_threshold  45254   45254     1   284 225.3989 <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
$emtrends
 targetpair Deviant_threshold.trend   SE  df lower.CL upper.CL t.ratio p.value
 DN                        -62.2667 3.45 284   -69.05   -55.48 -18.057  <.0001
 NN                          0.0141 2.87 284    -5.63     5.66   0.005  0.9961

Degrees-of-freedom method: satterthwaite 
Confidence level used: 0.95 

$contrasts
 contrast estimate   SE  df lower.CL upper.CL t.ratio p.value
 DN - NN     -62.3 4.15 284    -70.4    -54.1 -15.013  <.0001

Degrees-of-freedom method: satterthwaite 
Confidence level used: 0.95 
ISM Plot
ISM Analysis
Analysis of Variance Table

Response: k
                   Df  Sum Sq Mean Sq F value    Pr(>F)    
Deviant_threshold   4  23.943  5.9857  16.327 4.967e-12 ***
Residuals         279 102.283  0.3666                      
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
$emmeans
 Deviant_threshold emmean     SE  df lower.CL upper.CL t.ratio p.value
 0                   1.61 0.0840 279     1.44     1.78  19.178  <.0001
 0.25                1.66 0.0714 279     1.51     1.80  23.198  <.0001
 0.5                 1.87 0.0782 279     1.72     2.02  23.930  <.0001
 0.75                2.12 0.0865 279     1.95     2.29  24.471  <.0001
 1                   2.40 0.0848 279     2.24     2.57  28.348  <.0001

Confidence level used: 0.95 

$contrasts
 contrast                                      estimate    SE  df lower.CL
 Deviant_threshold0 - Deviant_threshold0.25     -0.0451 0.110 279   -0.348
 Deviant_threshold0 - Deviant_threshold0.5      -0.2603 0.115 279   -0.575
 Deviant_threshold0 - Deviant_threshold0.75     -0.5064 0.121 279   -0.837
 Deviant_threshold0 - Deviant_threshold1        -0.7932 0.119 279   -1.121
 Deviant_threshold0.25 - Deviant_threshold0.5   -0.2152 0.106 279   -0.506
 Deviant_threshold0.25 - Deviant_threshold0.75  -0.4613 0.112 279   -0.769
 Deviant_threshold0.25 - Deviant_threshold1     -0.7481 0.111 279   -1.052
 Deviant_threshold0.5 - Deviant_threshold0.75   -0.2461 0.117 279   -0.566
 Deviant_threshold0.5 - Deviant_threshold1      -0.5329 0.115 279   -0.850
 Deviant_threshold0.75 - Deviant_threshold1     -0.2868 0.121 279   -0.619
 upper.CL t.ratio p.value
   0.2575  -0.409  0.9941
   0.0547  -2.269  0.1581
  -0.1754  -4.201  0.0003
  -0.4656  -6.647  <.0001
   0.0754  -2.033  0.2528
  -0.1534  -4.114  0.0005
  -0.4439  -6.751  <.0001
   0.0740  -2.111  0.2183
  -0.2163  -4.621  0.0001
   0.0458  -2.368  0.1273

Confidence level used: 0.95 
Conf-level adjustment: tukey method for comparing a family of 5 estimates 
P value adjustment: tukey method for comparing a family of 5 estimates 
 Deviant_threshold emmean     SE  df null t.ratio p.value
 0                   1.61 0.0840 279    2  -4.642  <.0001
 0.25                1.66 0.0714 279    2  -4.830  <.0001
 0.5                 1.87 0.0782 279    2  -1.656  0.0494
 0.75                2.12 0.0865 279    2   1.349  0.9108
 1                   2.40 0.0848 279    2   4.759  1.0000

P values are left-tailed 
New Agent Prediction Plot
Prediction Analysis
Analysis of Variance Table

Response: confidence
           Df Sum Sq Mean Sq F value  Pr(>F)  
deviance    4   6957 1739.34  2.4753 0.04459 *
Residuals 279 196044  702.67                  
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
$emmeans
 deviance emmean   SE  df lower.CL upper.CL t.ratio p.value
 0          60.3 3.68 279     53.1     67.6  16.411  <.0001
 0.25       56.1 3.12 279     50.0     62.3  17.961  <.0001
 0.5        53.2 3.42 279     46.5     59.9  15.546  <.0001
 0.75       48.4 3.79 279     40.9     55.8  12.778  <.0001
 1          46.1 3.71 279     38.8     53.4  12.419  <.0001

Confidence level used: 0.95 

$contrasts
 contrast                    estimate   SE  df lower.CL upper.CL t.ratio
 deviance0 - deviance0.25        4.22 4.82 279   -9.030     17.5   0.874
 deviance0 - deviance0.5         7.13 5.02 279   -6.663     20.9   1.419
 deviance0 - deviance0.75       11.94 5.28 279   -2.552     26.4   2.262
 deviance0 - deviance1          14.23 5.22 279   -0.115     28.6   2.724
 deviance0.25 - deviance0.5      2.91 4.63 279   -9.811     15.6   0.628
 deviance0.25 - deviance0.75     7.72 4.91 279   -5.756     21.2   1.573
 deviance0.25 - deviance1       10.01 4.85 279   -3.308     23.3   2.064
 deviance0.5 - deviance0.75      4.81 5.10 279   -9.202     18.8   0.943
 deviance0.5 - deviance1         7.10 5.05 279   -6.760     21.0   1.407
 deviance0.75 - deviance1        2.29 5.30 279  -12.270     16.8   0.432
 p.value
  0.9063
  0.6159
  0.1604
  0.0530
  0.9704
  0.5158
  0.2388
  0.8799
  0.6239
  0.9927

Confidence level used: 0.95 
Conf-level adjustment: tukey method for comparing a family of 5 estimates 
P value adjustment: tukey method for comparing a family of 5 estimates 
Moderator: Last Opinion
0
(N=52)
0.25
(N=72)
0.5
(N=60)
0.75
(N=49)
1
(N=51)
Overall
(N=284)
pred_maj
Yes 46 (88.5%) 56 (77.8%) 43 (71.7%) 41 (83.7%) 39 (76.5%) 225 (79.2%)
No 6 (11.5%) 16 (22.2%) 17 (28.3%) 8 (16.3%) 12 (23.5%) 59 (20.8%)
Analysis of Variance Table

Response: confidence
                   Df Sum Sq Mean Sq F value   Pr(>F)    
deviance            4   6957  1739.3  2.5929 0.036928 *  
pred_maj            1  10078 10077.5 15.0227 0.000133 ***
deviance:pred_maj   4   2162   540.5  0.8058 0.522346    
Residuals         274 183805   670.8                     
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Order of deviant across rounds
Opinion Round
0
(N=284)
1
(N=284)
2
(N=284)
3
(N=284)
4
(N=284)
5
(N=284)
6
(N=284)
7
(N=284)
Overall
(N=2272)
trialnum
0 45 (15.8%) 28 (9.9%) 41 (14.4%) 45 (15.8%) 39 (13.7%) 29 (10.2%) 32 (11.3%) 32 (11.3%) 291 (12.8%)
1 32 (11.3%) 31 (10.9%) 30 (10.6%) 43 (15.1%) 46 (16.2%) 46 (16.2%) 35 (12.3%) 43 (15.1%) 306 (13.5%)
2 39 (13.7%) 43 (15.1%) 42 (14.8%) 30 (10.6%) 39 (13.7%) 37 (13.0%) 40 (14.1%) 28 (9.9%) 298 (13.1%)
3 26 (9.2%) 34 (12.0%) 30 (10.6%) 33 (11.6%) 28 (9.9%) 37 (13.0%) 46 (16.2%) 36 (12.7%) 270 (11.9%)
4 31 (10.9%) 40 (14.1%) 32 (11.3%) 41 (14.4%) 33 (11.6%) 41 (14.4%) 32 (11.3%) 40 (14.1%) 290 (12.8%)
5 47 (16.5%) 31 (10.9%) 37 (13.0%) 31 (10.9%) 28 (9.9%) 29 (10.2%) 36 (12.7%) 22 (7.7%) 261 (11.5%)
6 32 (11.3%) 36 (12.7%) 37 (13.0%) 29 (10.2%) 35 (12.3%) 29 (10.2%) 30 (10.6%) 41 (14.4%) 269 (11.8%)
7 32 (11.3%) 41 (14.4%) 35 (12.3%) 32 (11.3%) 36 (12.7%) 36 (12.7%) 33 (11.6%) 42 (14.8%) 287 (12.6%)